All categories

3 years ago

Given:

Mathematics

1 answer:

Oksana_A [137]3 years ago

4 0

Answer:

AAS' s congruence theorem will be used in this proof

You might be interested in

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the equation

Furkat [3]

Idk how to explain it but i got 1

8 0

3 years ago

Read 2 more answers

Leah is studying a bacteria sample that increases 4 times in mass every day. At the end of day 1 of her study, the sample has a

Sever21 [200]

After 6 days equation would be and answer
$4^6 = 4096$
to represent before 6 days just put 4^5=1024

4 0

3 years ago

Read 2 more answers

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

4 years ago

Simplify 4c - 2c - (46 +26)

Charra [1.4K]

The answer is 2c - 72.

First complete the brackets.
46+26=72
Then subtract 4c from 2c.
4c-2c=2c

5 0

3 years ago

Check all of the points that are solutions to the system of inequalities.

Setler [38]

Answer:

C and F

Step-by-step explanation:

To be a solution of the inequality, we just plug in the point into the original system. For example, let's look at A. Let's plug in x = 1 and y = 1. We get 1 ≤ 5 + 4 and 1 > -3 + 4. These simplify to 1 ≤ 9 and 1 > 1. Since 1 > 1 is a false statement, A is not a solution. Following this process, we get:

A: Not a solution

B: Not a solution

C: Solution

D: Not a solution

E: Not a solution

F: Solution

8 0

3 years ago